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Finding the Fourth Proportional to 300,459.63, 414,634.31 and 166,323.63

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Solution

The fourth proportional to 300,459.63, 414,634.31 and 166,323.63 is: 229,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,459.63 : 414,634.31 = 166,323.63 : x
  2. Step 2: Convert to fraction form
    300,459.63/414,634.31 = 166,323.63/x
  3. Step 3: Cross multiply
    300,459.63x = 414,634.31 × 166,323.63
  4. Step 4: Simplify right side
    300,459.63x = 68,963,483,561.75
  5. Step 5: Solve for x
    x = 68,963,483,561.75/300,459.63
  6. Step 6: Final answer
    x = 229,526.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.